Atkin-Lehner |
2+ 3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
74970bg |
Isogeny class |
Conductor |
74970 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-349925773680 = -1 · 24 · 37 · 5 · 76 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1755,-3515] |
[a1,a2,a3,a4,a6] |
Generators |
[23:-232:1] [38:323:1] |
Generators of the group modulo torsion |
j |
6967871/4080 |
j-invariant |
L |
7.4609851718075 |
L(r)(E,1)/r! |
Ω |
0.56427733641355 |
Real period |
R |
1.6527744183316 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000079 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24990bp1 1530e1 |
Quadratic twists by: -3 -7 |